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An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles

  • V. A. Alexandrov,
  • E. P. Volokitin

摘要

We construct some sphere-homeomorphic flexible self-intersection-free polyhedronin Euclidean 3-space whose all dihedral angles change during some flex.The polyhedron has 26 vertices, 72 edges, and 48 faces.To study the properties of the polyhedron, we use traditional geometric constructions andreasoning as well as symbolic calculations in the Wolfram Mathematica software system.